{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BTCUJBLZUD2JEMH7RFN52CP5WV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5b6feb7563ebd92f4982de7c65bd510112e4a8d2a2f4895cb85f0a15481acbf0","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-28T19:52:14Z","title_canon_sha256":"294134ed8914ffccfeb5e4858a5b58c9461d9c72bdf35cdf1887a83a765efaec"},"schema_version":"1.0","source":{"id":"1102.5755","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.5755","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"1102.5755v2","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.5755","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"BTCUJBLZUD2J","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BTCUJBLZUD2JEMH7","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BTCUJBLZ","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:330850f552fed834b9636efb877319b205a7649562537968aeb076db760e90ef","target":"graph","created_at":"2026-05-18T03:45:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Inspired by some new advances on normal factor graphs (NFGs), we introduce NFGs as a simple and intuitive diagrammatic approach towards encoding some concepts from linear algebra. We illustrate with examples the workings of such an approach and settle a conjecture of Peterson on the Pfaffian.","authors_text":"Ali Al-Bashabsheh, Pascal O. Vontobel, Yongyi Mao","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-28T19:52:14Z","title":"Normal Factor Graphs: A Diagrammatic Approach to Linear Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.5755","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9d32737282f0249697ba9591c64958904af940e6392cda7467bd00fa2d50696e","target":"record","created_at":"2026-05-18T03:45:32Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5b6feb7563ebd92f4982de7c65bd510112e4a8d2a2f4895cb85f0a15481acbf0","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-02-28T19:52:14Z","title_canon_sha256":"294134ed8914ffccfeb5e4858a5b58c9461d9c72bdf35cdf1887a83a765efaec"},"schema_version":"1.0","source":{"id":"1102.5755","kind":"arxiv","version":2}},"canonical_sha256":"0cc5448579a0f49230ff895bdd09fdb5641e9a87e575841678aa5afa708b9c54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cc5448579a0f49230ff895bdd09fdb5641e9a87e575841678aa5afa708b9c54","first_computed_at":"2026-05-18T03:45:32.049603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:32.049603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qhsjLoWhsdbfPhL8uvVawWpMlJbNO0UMfn7yC7a5LAOE5uC4aHmtfCu13Ug4qOS2zy08+aFsLLyM0v251Ip7BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:32.050201Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.5755","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d32737282f0249697ba9591c64958904af940e6392cda7467bd00fa2d50696e","sha256:330850f552fed834b9636efb877319b205a7649562537968aeb076db760e90ef"],"state_sha256":"13746a25627f06b110ff62578e0be4d90b018d169d7d76a33ab2dfc864a224b2"}